diff --git a/conftest.py b/conftest.py
--- a/conftest.py
+++ b/conftest.py
@@ -9,8 +9,7 @@
 
 from typing import Any, Dict
 
-from swh.storage.tests.conftest import *  # noqa
-from swh.scheduler.tests.conftest import *  # noqa
+from swh.scheduler.tests.conftest import swh_app  # noqa
 
 
 @pytest.fixture
diff --git a/requirements-swh.txt b/requirements-swh.txt
--- a/requirements-swh.txt
+++ b/requirements-swh.txt
@@ -1,4 +1,4 @@
 swh.core >= 0.0.75
 swh.model >= 0.3.7
-swh.scheduler
-swh.storage >= 0.8.0
+swh.scheduler >= 0.4.0
+swh.storage >= 0.10.1
diff --git a/requirements-test.txt b/requirements-test.txt
--- a/requirements-test.txt
+++ b/requirements-test.txt
@@ -1,6 +1,6 @@
 pytest
 pytest-mock
-pytest-postgresql >= 2.1.0
 requests_mock
 swh-core[testing]
 swh-scheduler[testing]
+swh-storage[testing]
diff --git a/tox.ini b/tox.ini
--- a/tox.ini
+++ b/tox.ini
@@ -6,6 +6,7 @@
   testing
 deps =
   swh.core[http]
+  swh.storage[testing]  # otherwise, somehow pytest-postgresql is not seen
   pytest-cov
   dev: pdbpp
 commands =